Search a number
-
+
86081670 = 23352111511
BaseRepresentation
bin1010010000110…
…00000010000110
312222222101212000
411020120002012
5134014103140
612313010130
72063452653
oct510300206
9188871760
1086081670
1144655484
12249b3946
1314aac5cc
14b60ac2a
157855a30
hex5218086

86081670 has 64 divisors (see below), whose sum is σ = 230791680. Its totient is φ = 22831200.

The previous prime is 86081669. The next prime is 86081713. The reversal of 86081670 is 7618068.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56215 + ... + 57725.

It is an arithmetic number, because the mean of its divisors is an integer number (3606120).

Almost surely, 286081670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86081670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115395840).

86081670 is an abundant number, since it is smaller than the sum of its proper divisors (144710010).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86081670 is a wasteful number, since it uses less digits than its factorization.

86081670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 86081670 is about 9278.0208018736. The cubic root of 86081670 is about 441.5401775355.

The spelling of 86081670 in words is "eighty-six million, eighty-one thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 211 270 422 633 1055 1266 1511 1899 2110 3022 3165 3798 4533 5697 6330 7555 9066 9495 11394 13599 15110 18990 22665 27198 28485 40797 45330 56970 67995 81594 135990 203985 318821 407970 637642 956463 1594105 1912926 2869389 3188210 4782315 5738778 8608167 9564630 14346945 17216334 28693890 43040835 86081670